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Finding the Fourth Proportional to 289,546.40, 433,474.80 and 206,602.40

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Solution

The fourth proportional to 289,546.40, 433,474.80 and 206,602.40 is: 309,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,546.40 : 433,474.80 = 206,602.40 : x
  2. Step 2: Convert to fraction form
    289,546.40/433,474.80 = 206,602.40/x
  3. Step 3: Cross multiply
    289,546.40x = 433,474.80 × 206,602.40
  4. Step 4: Simplify right side
    289,546.40x = 89,556,934,019.52
  5. Step 5: Solve for x
    x = 89,556,934,019.52/289,546.40
  6. Step 6: Final answer
    x = 309,300.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.